The equation "a2 + b2 = c2" refers to the Pythagorean theorem. With this theorem, it is possible to find the length of any side of a right triangle when given the length of the other two sides.
Know MoreThe Pythagorean theorem states the sum of the squares of the two legs of a right triangle is equal to the square of the hypotenuse. In this equation, the twos after each term are not indicators of multiplication by two but of squaring each term. Normally, mathematicians write them as superscripts above the regular line of the text. This formula provides the basis for the distance formula, which is useful in determining the distance between two points on a graph when given their coordinates.
Learn more about TrigonometryThe angular momentum formula is L = Iw, where the variable L represents the angular momentum, I is the moment of inertia, and w is the angular velocity. Angular momentum is a physics concept defined as the amount of rotation of an object in relation to its shape, speed and mass.
Full Answer >To solve the equation sin(cos(-1)), first it is necessary to solve for cos(-1) and then find the sine of that value. Assuming that (-1) is given in units of radians, this equation is equal to 0.514. If (-1) is in degrees, the equation is equal to 0.017.
Full Answer >"Plane trigonometry" is a branch of mathematics that focuses on the relationship between the sides and angles of a triangle. Plane trigonometry builds upon the basic concepts of Euclidean geometry, and it has applications in a variety of mathematical fields, from physics to advanced calculus.
Full Answer >The antiderivative of tan(x) can be expressed as either - ln |cos(x)| + C or as ln |sec(x)| + C. In these equations, C indicates a constant, ln is the natural logarithm function, cos indicates the function cosine and sec denotes the function secant.
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